On the definition of quasi-Jordan algebra
Bremner, Murray R.
Rings and Algebras
Mathematical Physics
Representation Theory
Primary 17A30. Secondary 17A15, 17A32, 17A50, 17C05, 17C50
Original · EN
Velasquez and Felipe recently introduced quasi-Jordan algebras based on the product a b = 12 (a b + b a) in an associative dialgebra with operations and. We determine the polynomial identities of degree ≤ 4 satisfied by this product. In addition to right commutativity and the right quasi-Jordan identity, we obtain a new associator-derivation identity.
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